• Open Access

Exactly soluble model for a fractionalized Weyl semimetal

Fabian Hotz, Apoorv Tiwari, Oguz Turker, Tobias Meng, Ady Stern, Maciej Koch-Janusz, and Titus Neupert
Phys. Rev. Research 1, 033029 – Published 17 October 2019
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  • INTRODUCTION
  • SOLVABLE MODEL
  • FRACTIONAL CURRENTS
  • FRACTIONAL CPGE
  • WIEDEMANN-FRANZ LAW VIOLATION
  • ELECTRONIC GREEN'S FUNCTION
  • CONCLUSION
  • ACKNOWLEDGMENTS
    • Supplemental Material
    References

    Abstract

    We construct an exactly solvable lattice model of a fractional Weyl semimetal. The low-energy theory of this strongly interacting state is that of a Weyl semimetal built out of fractionally charged fermions. We show the existence of a universally quantized and fractional circular photogalvanic effect and a violation of the Wiedemann-Franz law in the system. Together with a spectral gap in the single-particle electronic Green's function, they provide strong experimental signatures for this exotic gapless state of matter.

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    • Received 22 July 2019

    DOI:https://doi.org/10.1103/PhysRevResearch.1.033029

    Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

    Published by the American Physical Society

    Physics Subject Headings (PhySH)

    1. Research Areas
    FractionalizationTopological phases of matter
    1. Physical Systems
    Strongly correlated systemsTopological materialsWeyl semimetal
    Condensed Matter, Materials & Applied Physics

    Authors & Affiliations

    Fabian Hotz1, Apoorv Tiwari2,3, Oguz Turker4, Tobias Meng4, Ady Stern5, Maciej Koch-Janusz1, and Titus Neupert2

    • 1Institute for Theoretical Physics, ETH Zürich, 8093 Zürich, Switzerland
    • 2Department of Physics, University of Zürich, 8057 Zürich, Switzerland
    • 3Condensed Matter Theory Group, Paul Scherrer Institute, CH-5232 Villigen PSI, Switzerland
    • 4Institut für Theoretische Physik and Würzburg-Dresden Cluster of Excellence ct.qmat, Technische Universität Dresden, 01062 Dresden, Germany
    • 5Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel

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    Issue

    Vol. 1, Iss. 3 — October - December 2019

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